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Finding the Fourth Proportional to 76.29, 105.14 and 73.32

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Solution

The fourth proportional to 76.29, 105.14 and 73.32 is: 101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.29 : 105.14 = 73.32 : x
  2. Step 2: Convert to fraction form
    76.29/105.14 = 73.32/x
  3. Step 3: Cross multiply
    76.29x = 105.14 × 73.32
  4. Step 4: Simplify right side
    76.29x = 7,708.50
  5. Step 5: Solve for x
    x = 7,708.50/76.29
  6. Step 6: Final answer
    x = 101.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.